6.b
7.d
8.a
9.c
see attached image. sorry that’s it’s all jumbled up weird, i could only figure out how to put them all together using photoshop. hope these help you out :))
Answer:
9.9
Step-by-step explanation:
\text{Volume of Hemisphere}\text{:}
Volume of Hemisphere:
\,\,257
257
\text{Volume of Sphere}\text{:}
Volume of Sphere:
\,\,514
514
Double volume of hemisphere to get volume of the entire sphere
\text{Volume of a Sphere:}
Volume of a Sphere:
V=\frac{4}{3}\pi r^3
V=
3
4
πr
3
514=
514=
\,\,\left(\frac{4}{3}\pi\right) r^3
(
3
4
π)r
3
514=
514=
\,\,(4.1887902)r^3
(4.1887902)r
3
Evaluate 4/3pi in calc
\frac{514}{4.1887902}=
4.1887902
514
=
\,\,\frac{(4.1887902)r^3}{4.1887902}
4.1887902
(4.1887902)r
3
Evaluate \frac{4}{3}\pi
3
4
π in calc
122.7084611=
122.7084611=
\,\,r^3
r
3
\sqrt[3]{122.7084611}=
3
122.7084611
=
\,\,\sqrt[3]{r^3}
3
r
3
Cube root both sides
4.9692575=
4.9692575=
\,\,r
r
\text{Then the diameter equals }9.938515
Then the diameter equals 9.938515
diameter is radius times 2
\text{Final Answer:}
Final Answer:
d\approx 9.9\text{ m}
d≈9.9 m
Round to nearest tenth
Answer:
independent, 1/4
Step-by-step explanation:
The events are independent because what occurs on the first flip does not affect the second flip
P(heads) = 1/2
P(heads, heads) = 1/2*1/2 = 1/4
Answer:
9/20
Step-by-step explanation:
.45 = 45/100
Divide the top and bottom by 5
45/5 = 9
100/5 = 20
The fraction becomes 9/20
Answer:
17 1/3
Step-by-step explanation:
10 + 6 + 1/2 + 5/6
Turn 1/2 into 3/3 =3/6
10 + 6 + 3/6 +5/6
10 +6 = 16
3/6 +5/6 = 8/6
Put 8/6 into mixed number than add it to 16
8/6= 1 2/6
Finally, add 1 2/6 and 16 it would equal 17 2/6 aka 17 1/3